Fritz Joseph Ursell
Bibliography
Ursell 1
Fritz Joseph Ursell. Bibliography
Most of Ursell’s papers were collected and published in two volumes as Ship hydrodynamics,
water waves and asymptotics: collected papers of F. Ursell, 1946–1992 (World Scientific,
Singapore, 1994). He divided the papers into four sections:
A. Ship hydrodynamics and linear theory of water waves
B. Aerodynamics and acoustics
C. Mathematical methods
D. Oceanography
The papers of section A are in volume I, the remainder are in volume II. In the following list
of publications, we identify those in the Collected Papers by, for example, A1 at the end of
reference [4].
[1] F. Ursell, Analysis of sea waves. Admiralty Research Laboratory, Teddington, Report
ARL 103.30/R1/W, 1945. Catalogued as ADM 204/2117 in The National Archives.
[2] N. F. Barber, F. Ursell, J. Darbyshire and M. J. Tucker, A frequency analyser used in
the study of ocean waves. Nature 158 (1946) 329–332. doi
D1
[3] F. Ursell, The wave-making properties of a submerged pulsating source. Admiralty
Research Laboratory, Teddington, Report ARL 103.41/R3, 1946. Catalogued as ADM
204/2107 in The National Archives.
[4] F. Ursell, The effect of a fixed vertical barrier on surface waves in deep water. Proc.
Camb. Phil. Soc. 43 (1947) 374–382. doi
A1
[5] F. Ursell, The reflection of waves from a submerged low reef. Admiralty Research Laboratory, Teddington, Report ARL/R5/103.41/W, 1947. Catalogued as ADM 204/2109
in The National Archives.
[6] N. Barber and F. Ursell, Study of ocean swell. Nature 159 (1947) 205. doi
[7] N. F. Barber and F. Ursell, The generation and propagation of ocean waves and swell. I.
Wave periods and velocities. Phil. Trans. R. Soc. A 240 (1948) 527–560. doi
D2
[8] N. F. Barber and F. Ursell, The response of a resonant system to a gliding tone. Phil.
Mag., Ser. 7 39 (1948) 345–361.
D3
[9] M. S. Longuet-Higgins and F. Ursell, Sea waves and microseisms. Nature 162 (1948)
700. doi
D4
Ursell
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[10] F. Ursell, On the waves due to the rolling of a ship. Q. J. Mech. Appl. Math. 1 (1948)
246–252. doi
A2
[11] F. Ursell, On the heaving motion of a circular cylinder on the surface of a fluid. Q. J.
Mech. Appl. Math. 2 (1949) 218–231. doi
A3
[12] F. Ursell, On the rolling motion of cylinders in the surface of a fluid. Q. J. Mech. Appl.
Math. 2 (1949) 335–353. doi
A4
[13] F. Ursell, Notes on the linear theory of incompressible flow round symmetrical sweptback wings at zero lift. Aeronautical Quarterly 1 (1949) 101–122.
B1
[14] F. Ursell, Surface waves on deep water in the presence of a submerged circular cylinder. I.
Proc. Camb. Phil. Soc. 46 (1950) 141–152. doi
A5
[15] F. Ursell, Surface waves on deep water in the presence of a submerged circular cylinder. II. Proc. Camb. Phil. Soc. 46 (1950) 153–158. doi
A6
[16] F. Ursell and G. N. Ward, On some general theorems in the linearized theory of compressible flow. Q. J. Mech. Appl. Math. 3 (1950) 326–348. doi
B2
[17] F. Ursell, On the theoretical form of ocean swell on a rotating earth. Monthly Notices
Roy. Astr. Soc. Geophys. Suppl. 6 (1950) 1–8.
D5
[18] F. Ursell, On the application of harmonic analysis to ocean wave research. Science 111
(1950) 445–446. doi
D6
[19] F. Ursell, Trapping modes in the theory of surface waves. Proc. Camb. Phil. Soc. 47
(1951) 347–358. doi
A7
[20] F. Ursell, Discrete and continuous spectra in the theory of gravity waves. Gravity Waves
National Bureau of Standards Circular 521, U. S. Government Printing Office, Washington, D. C., 1952, pp. 1–5.
A8
[21] F. Ursell, Edge waves on a sloping beach. Proc. R. Soc. A 214 (1952) 79–97. doi
A9
[22] F. Ursell, Mass transport in gravity waves. Proc. Camb. Phil. Soc. 49 (1953) 145–150.
doi
A10
[23] F. Ursell, The long-wave paradox in the theory of gravity waves. Proc. Camb. Phil. Soc.
49 (1953) 685–694. doi
A11
[24] F. Ursell, Short surface waves due to an oscillating immersed body. Proc. R. Soc. A
220 (1953) 90–103. doi
A12
[25] F. Ursell, Water waves generated by oscillating bodies. Q. J. Mech. Appl. Math. 7 (1954)
427–437. doi
A13
[26] T. B. Benjamin and F. Ursell, The stability of the plane free surface of a liquid in
vertical periodic motion. Proc. R. Soc. A 225 (1954) 505–515. doi
A14
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[27] F. Ursell, Wave generation by wind. Surveys in mechanics. The G. I. Taylor anniversary
volume (eds G. K. Batchelor and R. M. Davies) Cambridge University Press, 1956,
pp. 216–249.
D7
[28] F. Ursell, The virtual mass and damping of a floating sphere at zero speed. Admiralty
Experiment Works, Haslar, Report No. 31/56, 1956. Catalogued as ADM 226/344 in
The National Archives.
[29] F. Ursell, On the short-wave asymptotic theory of the wave equation (∇2 + k 2 )φ = 0.
Proc. Camb. Phil. Soc. 53 (1957) 115–133. doi
B3
[30] C. Chester, B. Friedman and F. Ursell, An extension of the method of steepest descents.
Proc. Camb. Phil. Soc. 53 (1957) 599–611. doi
C1
[31] F. Ursell, On the virtual mass and damping of floating bodies at zero speed ahead. Proc.
Symposium on the Behaviour of Ships in a Seaway, Wageningen, 1959, pp. 374–387. A15
[32] R. G. Dean and F. Ursell, Interaction of a fixed, semi-immersed circular cylinder with
a train of surface waves. Hydrodynamics Laboratory, Dept. of Civil and Sanitary Engineering, Massachusetts Institute of Technology, Technical Report No. 37, 1959.
[33] F. Ursell, R. G. Dean and Y. S. Yu, Forced small-amplitude water waves: a comparison
of theory and experiment. J. Fluid Mech. 7 (1960) 33–52. doi
A16
[34] F. Ursell, On Kelvin’s ship-wave pattern. J. Fluid Mech. 8 (1960) 418–431. doi
A17
[35] F. Ursell, Steady wave patterns on a non-uniform steady fluid flow. J. Fluid Mech. 9
(1960) 333–346. doi
A18
[36] F. Ursell and F. W. J. Olver, Obituary: Roger Chapman Thorne. J. Austral. Math. Soc.
1 (1960) 255–256. doi
[37] F. Ursell, The transmission of surface waves under surface obstacles. Proc. Camb. Phil.
Soc. 57 (1961) 638–668. doi
A19
[38] Y. S. Yu and F. Ursell, Surface waves generated by an oscillating circular cylinder on
water of finite depth: theory and experiment. J. Fluid Mech. 11 (1961) 529–551. doi
A20
[39] F. Ursell, Slender oscillating ships at zero forward speed. J. Fluid Mech. 14 (1962)
496–516. doi
A21
[40] F. Ursell, The periodic heaving motion of a half-immersed sphere: the analytic form of
the velocity potential, long-wave asymptotics of the virtual-mass coefficient. Report for
Fluid Dynamics Branch, U. S. Office of Naval Research, 1962.
[41] F. Ursell, A note on slender-body theory. Proc. International Seminar on Theoretical
Wave-Resistance, University of Michigan, 1963, pp. 811–818.
Ursell
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[42] F. Ursell, The decay of the free motion of a floating body. J. Fluid Mech. 19 (1964)
305–319. doi
A22
[43] F. Ursell, Integrals with a large parameter. The continuation of uniformly asymptotic
expansions. Proc. Camb. Phil. Soc. 61 (1965) 113–128. doi
C2
[44] F. Ursell, On the rigorous foundation of short-wave asymptotics. Proc. Camb. Phil. Soc.
62 (1966) 227–244. doi
B4
[45] F. Ursell, Creeping modes in a shadow. Proc. Camb. Phil. Soc. 64 (1968) 171–191. doi
B5
[46] F. Ursell, On head seas travelling along a horizontal cylinder. J. Inst. Math. Applics 4
(1968) 414–427. doi
A23
[47] F. Ursell, The expansion of water-wave potentials at great distances. Proc. Camb. Phil.
Soc. 64 (1968) 811–826. doi
A24
[48] F. Ursell, Integral equations with a rapidly oscillating kernel. J. London Math. Soc. 44
(1969) 449–459. doi
C3
[49] F. Ursell, Integrals with a large parameter: paths of descent and conformal mapping.
Proc. Camb. Phil. Soc. 67 (1970) 371–381. doi
C4
[50] S. J. Maskell and F. Ursell, The transient motion of a floating body. J. Fluid Mech. 44
(1970) 303–313. doi
A25
[51] F. Ursell, Integrals with a large parameter. Several nearly coincident saddle-points. Proc.
Camb. Phil. Soc. 72 (1972) 49–65. doi
C5
[52] F. Ursell, On the exterior problems of acoustics. Proc. Camb. Phil. Soc. 74 (1973)
117–125. doi
B6
[53] W. E. Bolton and F. Ursell, The wave force on an infinitely long circular cylinder in an
oblique sea. J. Fluid Mech. 57 (1973) 241–256. doi
A26
[54] F. Ursell, Short surface waves in a canal: dependence of frequency on curvature. J.
Fluid Mech. 63 (1974) 177–181. doi
A27
[55] F. Ursell, Introduction to the theory of linear integral equations. Numerical solution
of integral equations (eds L. M. Delves and J. Walsh) Clarendon Press, Oxford, 1974,
pp. 2–11.
C6
[56] F. Ursell, A problem in the theory of water waves. Numerical solution of integral equations (eds L. M. Delves and J. Walsh) Clarendon Press, Oxford, 1974, pp. 291–299.
A28
[57] F. Ursell, Note on the refraction of head seas by long ships. Proc. 10th Symposium on
Naval Hydrodynamics, Cambridge, Massachusetts, 1974, pp. 565–568.
Ursell
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[58] F. Ursell, The refraction of head seas by a long ship. J. Fluid Mech. 67 (1975) 689–703.
doi
A29
[59] F. Ursell, On the virtual-mass and damping coefficients for long waves in water of finite
depth. J. Fluid Mech. 76 (1976) 17–28. doi
A30
[60] P. Sayer and F. Ursell, On the virtual mass, at long wavelengths, of a half-immersed
circular cylinder heaving on water of finite depth. Proc. 11th Symposium on Naval
Hydrodynamics, London, 1976, pp. 529–532.
[61] D. E. Cartwright and F. Ursell, Joseph Proudman. 30 December 1888 – 26 June 1975.
Biographical Memoirs of Fellows of the Royal Society 22 (1976) 319–333. doi
[62] F. Ursell, The refraction of head seas by a long ship. Part 2. Waves of long wavelength.
J. Fluid Mech. 82 (1977) 643–657. doi
A31
[63] P. Sayer and F. Ursell, Integral-equation methods for calculating the virtual mass in
water of finite depth. Proc. 2nd International Conference on Numerical Ship Hydrodynamics, Berkeley, California, 1977, pp. 176–184.
[64] F. Ursell, On the exterior problems of acoustics: II. Math. Proc. Camb. Phil. Soc. 84
(1978) 545–548. doi
B7
[65] F. Ursell, Integrals with a large parameter: a double complex integral with four nearly
coincident saddle-points. Math. Proc. Camb. Phil. Soc. 87 (1980) 249–273. doi
C7
[66] F. Ursell, Irregular frequencies and the motion of floating bodies. J. Fluid Mech. 105
(1981) 143–156. doi
A32
[67] F. Ursell, Mathematical notes on the two-dimensional Kelvin–Neumann problem. Proc.
13th Symposium on Naval Hydrodynamics, Tokyo, 1981, pp. 245–251.
A33
[68] P. A. Martin and F. Ursell, On the null-field equations for water-wave radiation problems. Proc. 3rd International Conference on Numerical Ship Hydrodynamics, Paris,
1981, pp. 543–550.
[69] F. Ursell, Integrals with a large parameter: Hilbert transforms. Math. Proc. Camb. Phil.
Soc. 93 (1983) 141–149. doi
C8
[70] F. Ursell, Integrals with a large parameter: Legendre functions of large degree and fixed
order. Math. Proc. Camb. Phil. Soc. 95 (1984) 367–380. doi
C9
[71] F. Ursell, Mathematical note on the fundamental solution (Kelvin source) in ship hydrodynamics. IMA J. Appl. Math. 32 (1984) 335–351. doi
A34
[72] M. J. Simon and F. Ursell, Uniqueness in linearized two-dimensional water-wave problems. J. Fluid Mech. 148 (1984) 137–154. doi
A35
[73] F. J. Ursell, Mathematical observations on the method of multipoles. Eighth Georg
Weinblum Memorial Lecture. Schiffstechnik 33 (1986) 113–128.
A36
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[74] F. Ursell, Uniformly asymptotic expansions for an integral with a large and a small
parameter. Math. Proc. Camb. Phil. Soc. 101 (1987) 349–362. doi
C10
[75] F. Ursell, Mathematical aspects of trapping modes in the theory of surface waves. J.
Fluid Mech. 183 (1987) 421–437. doi
A37
[76] F. Ursell, On the theory of the Kelvin ship-wave source: asymptotic expansion of an
integral. Proc. R. Soc. A 418 (1988) 81–93. doi
A38
[77] F. Ursell, On the theory of the Kelvin ship-wave source: the near-field convergent
expansion of an integral. Proc. R. Soc. A 428 (1990) 15–26. doi
A39
[78] F. Ursell, Integrals with a large parameter. A strong form of Watson’s lemma. Elasticity,
mathematical methods and applications (eds G. Eason and R. W. Ogden) Ellis Horwood,
Chichester, 1990, pp. 391–395.
C11
[79] F. Ursell, Integrals with a large parameter and the maximum-modulus principle. Asymptotic and computational analysis (ed. R. Wong) Marcel Dekker, New York, 1990,
pp. 477–489.
C12
[80] F. Ursell, Trapped modes in a circular cylindrical acoustic waveguide. Proc. R. Soc. A
435 (1991) 575–589. doi
B8
[81] F. Ursell, Some mathematical contributions to waves and ships. Dynamics of marine
vehicles and structures in waves (eds W. G. Price, P. Temarel and A. J. Keane) Elsevier,
Amsterdam, 1991, pp. 25–36.
[82] F. Ursell, Some unsolved and unfinished problems in the theory of waves. Wave asymptotics (eds P. A. Martin and G. R. Wickham) Cambridge University Press, Cambridge,
1992, pp. 220–244.
A40
[83] D. V. Evans, C. M. Linton and F. Ursell, Trapped mode frequencies embedded in the
continuous spectrum. Q. J. Mech. Appl. Math. 46 (1993) 253–274. doi
[84] J.-M. Clarisse, J. N. Newman and F. Ursell, Integrals with a large parameter: water
waves on finite depth due to an impulse. Proc. R. Soc. A 450 (1995) 67–87. doi
[85] F. Ursell, Infinite systems of equations. The effect of truncation. Q. J. Mech. Appl.
Math. 49 (1996) 217–233. doi
[86] F. Ursell, Mathematical aspects of the Cauchy–Poisson problem in three dimensions.
Waves and nonlinear processes in hydrodynamics (eds J. Grue, B. Gjevik and J. E. Weber) Kluwer, Dordrecht, 1996, pp. 103–114.
[87] F. Ursell, On the wave motion near a submerged sphere between parallel walls: I. Multipole potentials. Q. J. Mech. Appl. Math. 52 (1999) 585–604. doi
[88] F. Ursell, On the wave motion near a submerged sphere between parallel walls: II. Notes
on convergence. Q. J. Mech. Appl. Math. 52 (1999) 605–621. doi
Ursell
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[89] F. Ursell, Reminiscences of the early days of the spectrum of ocean waves. Windover-wave couplings. Perspectives and prospects (eds S. G. Sajjadi, N. H. Thomas and
J. C. R. Hunt) Oxford University Press, 1999, pp. 127–137.
[90] F. Ursell, The local expansion of a source of oblique water waves in the free surface.
Wave Motion 33 (2001) 109–116. doi
[91] F. Ursell, The waves due to a submerged sphere moving in a canal. Q. J. Mech. Appl.
Math. 57 (2004) 335–346. doi
[92] F. Ursell, Reminiscences of my early career in waves. J. Ship Res. 49 (2005) 236–237.
[93] F. Ursell, Integrals with nearly coincident branch points: Gegenbauer polynomials of
large degree. Proc. R. Soc. A 463 (2007) 697–710. doi
[94] F. Ursell, Water-wave problems, their mathematical solution and physical interpretation. J. Engineering Math. 58 (2007) 7–17. doi
Ursell
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